Gaia Comaschi (Université de Pau et des pays de l'Adour) : Instanton Bundles of High Rank on Fano Threefolds

The notion of mathematical instanton was first introduced by Atiyah, Drinfeld, Hitchin, and Manin to define stable rank 2 vector bundles E on the projective space P3 with c1(E) = 0 and such that H1(E(-2)) = 0. This notion can be generalized to vector bundles of rank greater than 2 and further extended to other Fano threefolds besides the projective space. In this talk, I will present some results about instanton bundles of high rank on Fano threefolds of Picard rank one.